5251030442400 has 288 divisors, whose sum is σ = 17199018567360. Its totient is φ = 1391526420480.

The previous prime is 5251030442327. The next prime is 5251030442423. The reversal of 5251030442400 is 42440301525.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856189734 + ... + 856195866.

It is an arithmetic number, because the mean of its divisors is an integer number (59718814470).

Almost surely, 2^{5251030442400} is an apocalyptic number.

5251030442400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5251030442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8599509283680).

5251030442400 is an abundant number, since it is smaller than the sum of its proper divisors (11947988124960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5251030442400 is a wasteful number, since it uses less digits than its factorization.

5251030442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 5251030442400 its reverse (42440301525), we get a palindrome (5293470743925).

The spelling of 5251030442400 in words is "five trillion, two hundred fifty-one billion, thirty million, four hundred forty-two thousand, four hundred".